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IMCS/Publications/BASM/Issues/BASM n.2 (48), 2005/

On a Functional Equation with a Group Isotopy Property.

Authors: Raisa Kovali

Abstract

The set of all solutions of functional equation F1(F2(z; x); F3(e; z)) = F4(F5(x; y); x)) on quasigroup operations of an arbitrary fixed set are found. The result implies W.Dudek's theorem [1], which presents the operation in a quasigroup satisfying the identity xy·x = zx·yz.

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